What is the ratio of
(a) number of even numbers to odd numbers from the set of natural numbers from
30 to 50?
(b) prime numbers and composite numbers from the set of natural numbers from
1 to 20?
Answers
Answer:
Gívєn :
(a) number of even numbers to odd numbers from set of natural numbers from 30 to 50?
(b) prime numbers and composite numbers from set of natural numbers from 1 to 20?
Tσ fínd :
The ratio of :–
Number of even and odd numbers
Number of prime numbers
Sσlutíσn :
Odd and even numbers from 30–50.
To count the numbers fast, use this:
30+50=80
32+48=80
34+46=80
And so on and the result will be 80x5 PLUS the 40 in the middle which equals 440.
And the odd numbers
31+49=80
33+47=80
And so on and the result will be 80x5 which equals 400
Odd : Even = 440:400
:\implies\sf\frac{\cancel{440}}{\cancel{400}}⟹
400
440
We get 11:10.
\rule{100}1
Prime Numbers from 1 to 20: 2, 3, 5, 7, 11, 13, 17, 19
No. of Prime Numbers from 1 to 20 = 8
Composite Numbers from 1 to 20: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18
No. of Composite Numbers from 1 to 20 = 11
The Number of Prime numbers and composite numbers from set of natural numbers from 1 to 20 =
Required Ratio = 8:11
Or
< b ><b>
(a)
• Even Numbers from 30 to 50:
30, 32 , 34, 36, 38 , 40, 42, 44, 46, 48, 50
Number of Even Numbers from 30 to 50 = 11
• Odd Numbers from 30 to 50:
31, 33, 35, 37, 39, 41, 43, 45, 47, 49
No. of Odd Numbers from 30 to 50 = 10
--- The Number of even numbers to odd numbers from set of natural numbers from 30 to 50 = \frac{11}{10}
10
11
Required Ratio = 11:10
(b)
• Prime Numbers from 1 to 20:
2, 3, 5, 7, 11, 13, 17, 19
No. of Prime Numbers from 1 to 20 = 8
• Composite Numbers from 1 to 20:
1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18
No. of Composite Numbers from 1 to 20 = 11
--- The Number of Prime numbers and composite numbers from set of natural numbers from 1 to 20 = \frac{8}{11}
11
8
Required Ratio = 8:11
Step-by-step explanation:
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